I received my PhD and MSc in Mathematics from Chinese Academy of Sciences in 1991 and 1988.

Prior to joining Laurier, I was a professor at the Institute of Mathematics, Chinese Academy of Sciences (1999-2013), and an associate professor at the same institute (1994-1999).

The main focus of my research is Lle algebra, representation theory, division algebra, and linear algebra.

- University Research Professor (2014/15).

I have research assistantships opportunities for graduate students interested in algebra. Contact me for more information. I am willing to supervise graduate students in the areas of algebra.

- V. Mazorchuk, K. Zhao, “Simple Virasoro modules which are locally finite over a positive part”,
*Selecta Math*. (N.S.), 20 (2014), no. 3, 839-854. - R. Lu, K. Zhao, “Irreducible Virasoro modules from irreducible Weyl modules”,
*J. Algebra*, 414(2014), 271-287. - B. Cox, X. Guo, R. Lu, K. Zhao, “n-Point Virasoro algebras and their modules of densities”,
*Commun. Contemp. Math.*16 (2014), no. 3, 1350047. - R. Lu, V. Mazorchuk, K. Zhao, “On simple modules over conformal Galilei algebras”,
*J. of Pure and Applied Algebra*, 218 (2014) 1885-1899. - X. Guo, G. Liu, and K. Zhao, “Irreducible Harish-Chandra modules over extended Witt algebras”,
*Arkiv for matematik*, 52(2014), no.1, 99-112. - H. Chen, X. Guo, K. Zhao, “Tensor product weight modules over the Virasoro algebra”,
*J. London Math. Soc.*(2) 88 (2013) 829-844. - H. Tan, K. Zhao, “Irreducible Virasoro modules from tensor products (II)”,
*J. Algebra*, 394(2013), 357-373. - G. Liu, K. Zhao, “Irreducible Harish-Chandra modules over the derivation algebras of rational quantum tori”, Glasgow
*J. Math.*, Vol. 55(3), 677-693 (2013). - V. Mazorchuk, K. Zhao, “Characterization of simple highest weight modules”,
*Canadian Math. Bull.*, Vol. 56 (3), 606-614 (2013). - X. Guo, R. Lu and K. Zhao, “Fraction representations and highest-weight-like representations of the Virasoro algebra”,
*J. Algebra*, 387(2013), 68-86. - L. Feng, K. Zhao, “Classifying zeros of quaternionic two-sided polynomials and computing zeros of two-sided polynomials with complex coefficients”,
*Pacific J. Math.*, 262-2 (2013), 317-337. - X. Guo, R. Lu, K. Zhao, “Classification of irreducible Harish-Chandra modules over generalized Virasoro algebras”, Proceedings of the Edinburgh Mathematical Society, (2012)55, 697-709.
- J. Morita, K. Zhao, “Automorphisms and derivations of Borel subalgebras and their nilradicals in Kac-Moody algebras”,
*Communications in Contemporary Mathematics*, Vol.14, No.2 (2012), 63-84. - S. Eswara Rao, K. Zhao, “Integrable Representations of Toriodal Lie Algebras Co-ordinatized by Rational Quantum Tori”,
*J. Algebra*, 361 (2012), 225-247. - L. Feng, H. Tan, K. Zhao,” A generalized Cayley-Hamilton theorem”, L
*inear Algebra and its Applications*, 436 (2012), 2440-2445. - X. Guo, R. Lu and K. Zhao, “Irreducible modules over the Virasoro algebra”,
*Documenta Mathematica*, 16 (2011), 709-721. - X. Guo, R. Lu, K. Zhao, “Irreducible Harish-Chandra modules over the loop-Virasoro algebra”,
*Math. Forum*, 23 (2011), 1029-1052. - G. Liu, K. Zhao, “Irreducible weight modules over derivation algebras of quantum tori”,
*J. Algebra*, Vol.340, 28-34(2011). - X. Guo, K. Zhao, “Irreducible modules over Witt algebra”,
*Proc. Amer. Math. Soc.*, Volume 139, Number 7, July 2011, 2367-2373. - V. Mazorchuk and K. Zhao, “Supports of weight modules over Witt algebras”, Proceedings of the Royal Society of Edinburgh, 141A, 155-170(2011).
- X. Guo, X. Liu and K. Zhao, “Harish-Chandra modules over the ${Q}$ Heisenberg-Virasoro Algebra”,
*J Aust. Math. Soc*., Vol.89, 9-15(2010). - R. Lu, K. Zhao, “Classification of Irreducible Weight Modules Over the Twisted Heisenberg-Virasoro Algebra”,
*Communications in Contemporary Mathematics*, Vol.12, No.2, 183-205(2010). - D. Z. Djokovic, K. Zhao, “An octonion algebra originating in combinatorics”,
*Proc. Amer. Math. Soc.*, 138(2010), 4187-4195. - R. Lu, K. Zhao, “Verma modules over quantum torus Lie algebras”,
*Canadian Journal of Mathematics*, Vol.62 (2), 382-399(2010).

Contact Info:

E: kzhao@wlu.ca

Office Location: LH3042

Office Hours:

Tuesdays and Thursdays, 11:30 a.m. to 12:30 p.m.

Languages spoken: English, Chinese

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